Large N limit of orbifold field theories

TL;DR

This paper investigates the large N limit of orbifold field theories derived from ${ m N}=4$ theories, showing that their correlation functions match those of ${ m N}=4$ in the large N limit, using a purely field theoretical approach.

Contribution

It provides a field theoretical derivation confirming the string theory results on the large N equivalence of orbifold and ${ m N}=4$ theories.

Findings

Correlation functions of orbifold theories match ${ m N}=4$ in large N limit

Rescaling of gauge coupling constant is sufficient to relate the theories

Field theory analysis confirms string theory predictions

Abstract

We consider certain orbifoldization of the ${\cal N}=4$ field theories that leads to ${\cal N}=2,1,0$ field theories in 4 dimensions. These theories were recently analyzed using the string theory perturbation technique. It was found that in the large $N$ limit all correlation functions of the orbifold theories coincide with those of ${\cal N}=4$, modulo the rescaling of the gauge coupling constant. In this paper we repeat the same analysis using the field theoretical language.